Finite element approximation for degenerate parabolic equations. An application of nonlinear semigroup theory
Finite element approximation for degenerate parabolic equations is considered. We propose a semidiscrete scheme provided with order-preserving and contraction properties, making use of piecewise linear trial functions and the lumping mass technique. Those properties allow us to apply nonlinear semigroup theory, and the wellposedness and stability in and , respectively, of the scheme are established. Under certain hypotheses on the data, we also derive convergence without any convergence rate....